Answer
Answer:
Third Dimension size = 2.769 cm.
Work Step by Step
Given density = 22.57 $\frac{g}{cm^{3}}$
Mass = 1.0 kg = 1000 grams
Since Density = $\frac{Mass}{Volume}$
then Volume = $\frac{Mass}{density}$
Thus volume = $\frac{1000}{22.57}$ = $44.3066 cm^{3}$
Since the osmium block is a rectangle, its volume = product of its three dimensions.
So, 4 $\times$ 4 $\times$ (Third dimension) = 44.3066
Thus third dimension = $\frac{44.3066}{16}$ = 2.769 cm